102132202231200 has 288 divisors, whose sum is σ = 350577001635840. Its totient is φ = 25754643532800.

The previous prime is 102132202231187. The next prime is 102132202231243. The reversal of 102132202231200 is 2132202231201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22895905 + ... + 26990495.

It is an arithmetic number, because the mean of its divisors is an integer number (1217281255680).

Almost surely, 2^{102132202231200} is an apocalyptic number.

102132202231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132202231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175288500817920).

102132202231200 is an abundant number, since it is smaller than the sum of its proper divisors (248444799404640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132202231200 is a wasteful number, since it uses less digits than its factorization.

102132202231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095180 (or 4095167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102132202231200 its reverse (2132202231201), we get a palindrome (104264404462401).

Subtracting from 102132202231200 its reverse (2132202231201), we obtain a palindrome (99999999999999).

The spelling of 102132202231200 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, two hundred".